Which counter example shows that the following is false? Every perfect square has exactly three factors

1 answer:

4 0

36 is a perfect square, but its factors include 1 and 36, 6 and 6, 4 and 9, 3 and 12, and 2 and 18. that's 9 factors, not 3.

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At the city museum child admission is $5.70 and the adult admission is $9.60 on Thursday,186 ticket were sold for a total sales

romanna [79]

A + c = 186.....a = 186 - c
9.60a + 5.70c = 1399.50

9.60(186 - c) + 5.70c = 1399.50
1785.60 - 9.60c + 5.70c = 1399.50
-9.60c + 5.70c = 1399.50 - 1785.60
-3.90c = - 386.10
c = 386.10 / 3.90
c = 99....so there were 99 child tickets sold

7 0

3 years ago

Write an expression for the area of a triangle with a height of 2x^2 units and a base of 5x^2 + 4x units.

m_a_m_a [10]

An expression means that you may not be able to find a final value, and that it is acceptable to have x in the answer.

The formula for the area of a triangle is A=1/2*b*h

A=1/2*(5x^2+4x)*(2x^2) (distribute the 1/2)
A=(5/2x^2+2x)(2x^2) (distribute the 2x^2)
A=5x^4+4x^3

Hope this helps

3 0

3 years ago

The length of a rectangular board is 10 cm longer than its width. The width of the board is 26 cm. The board is cut into 9 equal

kvasek [131]

Each piece will be 26cm by 4cm.

Width is 26 cm.
Length is 36 cm. The problem states that the length is 10 cm longer than the width. Since width is 26 I just added 10 to arrive at 36 cm.

36 / 9 = 4 cm.

The width will still be 26 but the length is now 4 cm.

Area = length * width
Area = 4 * 26
Area = 104 cm

5 0

3 years ago

a survey asked 50 students if they play an instrument and if they are in band. 25 students play an instrument 20 are in a band a

frutty [35]

I would go with d .... If not it would be c...

Really hope I help but I would choose d

5 0

4 years ago

Read 2 more answers

What is the standard form equation of an ellipse that has vertices (−2,14) and (−2,−12) and co-vertices (9,1) and (−13,1)?

Gennadij [26K]

Answer:

$\frac{(x+2)^2}{121} + \frac{(y-1)^2}{169} = 1$

Step-by-step explanation:

First, we identify that the vertices are vertical.
(an image below is attached if you want to see a visualization)
Therefore, the equation is such:

$\frac{(x-h)^2}{b^2} + \frac{(y-k)^2}{a^2} = 1$

(h,k) is the center of the ellipse, which we could easily calculate by finding the midpoint between any pair of vertices.

This gets us (-2, 1)

Therefore, h = -2, k = 1

Now we want to find a,

we know the length of the major axis is 2a, and in this case, our length of the major axis is 26. So a = 13

Now we want to find b,

We know the length of the minor axis is 2b, and in this case, our length is 22, so b = 11

Now we will just plug in all the values and simplify to get our answer! B)

4 0

2 years ago